Page History: Transverse Mercator on the ellipsoid (TME)
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Page Revision: 2010/10/04 12:03
Radfearn's transformation formulae
TME is derived as a series by a complex transformation from the NME projection.
The direct series for x and y
The inverse series for
and
Direct
Inverse
where
Condition
where the coefficients are given by
If we use the numerical values for the Airy ellipsoid, then , in meteres,
Function and are defined in
is measured on radians from central meridian
The subscripted terms in the inverse series are to be evaluated at the footpoint latitude such that